| Title:
|
Zig-zag dynamical systems and the Baker-Campbell-Hausdorff formula (English) |
| Author:
|
Klíč, Alois |
| Author:
|
Pokorný, Pavel |
| Author:
|
Řeháček, Jan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
52 |
| Issue:
|
1 |
| Year:
|
2002 |
| Pages:
|
79-97 |
| . |
| Category:
|
math |
| . |
| MSC:
|
17B66 |
| MSC:
|
37C10 |
| idZBL:
|
Zbl 1007.37009 |
| idMR:
|
MR1901016 |
| . |
| Date available:
|
2009-09-25T14:06:13Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/130208 |
| . |
| Reference:
|
[1] BANYAGA A.: The Structure of Classical Diffeomorphism Groups.Math. Appl. 400, Kluwer Academic Publishers, London, 1997. Zbl 0874.58005, MR 1445290 |
| Reference:
|
[2] BOOTHBY W. M.: An Introduction to Differentiable Manifolds and Riemannian Geometry.Academic Press, New York, 1975. Zbl 0333.53001, MR 0426007 |
| Reference:
|
[3] BOURBAKI N.: Élements de mathématique. Fasc. 26: Groupes et algebres de Lie. Chap. I: Algebres de Lie.Actualités Sci. Indust. 1285 (2nd ed.), Hermann, Paris, 1971. (French) MR 0453824 |
| Reference:
|
[4] HAMILTON R. S.: The inverse function theorem of Nash and Moser.Bull. Amer. Math. Soc. (N.S.) 7 (1982), 65-222. Zbl 0499.58003, MR 0656198 |
| Reference:
|
[5] KLÍČ A., POKORNÝ P.: On dynamical systems generated by two alternating vector fields.Internat. J. Bifur. Chaos Appl. Sci. Engrg. 6 (1996), 2015-2030 MR 1430981 |
| Reference:
|
[6] KLÍČ A., ŘEHÁČEK J.: On systems governed by two alternating vector fields.Appl. Math. 39 (1994), 57-64. Zbl 0797.34047, MR 1254747 |
| Reference:
|
[7] MILNOR J.: Remarks on infinite dimensional Lie groups.In: Relativity, Groups and Topology II, Les Houches (1983), North Holland, Amstei dam-New Youik, 1984, pp. 1007-1057. MR 0830252 |
| Reference:
|
[8] OLVER P. J.: Applications of Lie Groups to Differential Equations.Springer-Verlag, New York, 1986. Zbl 0588.22001, MR 0836734 |
| Reference:
|
[9] PALIS J.: Vector fields generate few diffeomorphisms.Bull. Amer. Math. Soc. 80 (1974), 503-505. Zbl 0296.57008, MR 0348795 |
| Reference:
|
[10] VARADARJAN V. S. : Lie Groups, Lie Alqebras and Their Representations.Prentice-Hall Inc., New Yersey, 1974. |
| Reference:
|
[11] WOJTYNSKI W.: One-parameter subgroups and the B-C-H formula.Studia Math. 111 (1994), 163-185. Zbl 0838.22007, MR 1301764 |
| . |
